DeAndre is 15 miles into a 51-mile backpacking trip in the wilderness. DeAndre can hike 9 miles per day. How many more days does DeAndre need to finish?

Answer:

f(x) = 8x⁴-8x²+1

Step-by-step explanation:

I will assume that f(cos θ) = cos(4θ). Otherwise, f would not be a polynomial. lets divide cos(4θ) in an expression depending on cos(θ). We use this properties

cos(4θ) = cos(2 * (2θ) ) = cos²(2θ) - sin²(2θ) = [ cos²(θ)-sin²(θ) ]² - [2cos(θ)sin(θ)]² = [cos²(θ) - ( 1 - cos²(θ) ) ]² - 4cos²(θ)sin²(θ) = [2cos²(θ)-1]² - 4cos²(θ) (1 - cos²(θ) ) = 4 cos⁴(θ) - 4 cos²(θ) + 1 - 4 cos²(θ) + 4 cos⁴(θ) = 8cos⁴(θ) - 8 cos²(θ) + 1

Thus f(cos(θ)) = 8 cos⁴(θ) - 8 cos²(θ) + 1, and, as a result

f(x) = 8x⁴-8x²+1.

Answer:

Simple interest is calculated using initial principle while compound interest is calculated considering the interest also .

Step-by-step explanation:

Interest is the cost of borrowing money, where the borrower pays a fee to the lender for using his money. The interest, typically expressed as a percentage, can either be compounded or simple .

Simple interest is based on the principal amount , while compound interest is based on the principal amount and the interest that adds onto it in every period and the final principle is used for calculating the interest.

Simple interest is calculated  on the principal amount of a loan and it's easier to find out than compound interest.

Answer:

-0.5

Step-by-step explanation:

The correlation coefficient represents the relationship between two variables and here two variables are anxiety symptoms and life satisfaction. As it is mentioned in the statement that less anxiety symptoms are present in the individuals who have higher life satisfaction, so there is negative/ inverse relationship between anxiety symptoms and life satisfaction. Just to be clear the inverse relationship means that increase in one variable lead to decrease in second variable and vice versa. Also according to rule of thumb 0.5 represents the moderation correlation because correlation coefficient ranges from -1 to +1 and 0.5 is a middle value. So the correlation coefficient in the given scenario is -0.5.

Answer:

y=7  number of hours at grocery store

x=18 number of hours at baby- sitting

Step-by-step explanation:

According to the information provided.

x is number of hours at baby- sitting

y is number of hours at grocery store

total number of hours worked

1) x+y =25

total earn in a week

2) x*$6 + y* $9 = $171

from equation 1

x+y=25

x= 25-y

we place the above derived equation in equation 2

x*$6 + y* $9 = $171

(25-y)*$6 + y* $9 = $171

(25*6) -6y +9y =171

150+3y=171

3y=171-150

3y=21

y=7  number of hours at grocery store

x= 25-y

x= 25-7

x=18 number of hours at baby- sitting

Answer:

1 in

Step-by-step explanation:

We are given that

Diameter of casting=8 in

Radius of casting=[tex]\frac{Diameter}{2}=4 in[/tex]

Depth of casting=4 in

We have to find the distance of light bulb should be from the vertex

It means the reflector passing through the point (4,4).

Equation of parabola along y-axis is given by

[tex]x^2=4ay[/tex]

Using the equation substitute x=4 and y=4

[tex]16=16a[/tex]

[tex]a=\frac{16}{16}=1[/tex]

The focus of parabola is at (0,a).

Therefore, the focus of reflector=(0,1)

Hence, the light bulb should be placed 1 in far  from the vertex.

The distance of light bulb can be calculated using equation of parabola. The parabola is a plane curve which is U-shaped.

The distance of light bulb is [tex]1\:\rm in[/tex].

Given:

The diameter is [tex]8\:\rm in[/tex].

The radius is [tex]=\frac{d}{2}=\frac{8}{2}=4 \:\rm in[/tex].

The depth is [tex]4\:\rm in[/tex].

Since the depth is [tex]4\:\rm in[/tex] and radius is [tex]4\:\rm in[/tex] so reflector passes through the point [tex](4,4)[/tex].

Write the equation of parabola for y-axis.

[tex]x^2=4ay[/tex]

Putting [tex]4[/tex] for [tex]x[/tex] and [tex]4[/tex] for [tex]y[/tex].

[tex]4^2=4\times a\times 4\\a=\frac{16}{16}\\a=1[/tex]

The focus of a parabola is [tex](0,1)[/tex].

The distance of light bulb is [tex]1\:\rm in[/tex].

Learn more about parabola here:

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Using a ruler/straight edge to draw a vertical line for any values of x.If the curve is cut more than once, the graph is not for a function.

Step-by-step explanation:

Use a ruler to draw a line parallel to the y-axis for the taken values of x.When the vertical line is drawn, observe how the line intersect the graph. If the line intersects the graph more than once for nay value of x then that is not a graph of a function.

Learn More

Vertical line test:https://brainly.com/question/11554141

Keywords: vertical line test, function, graph

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Answer:

  1)  B, C, and D

  2)  plane BFD

Step-by-step explanation:

1) Collinear points are points on the same line. There are two lines shown. One of them shows points A, C, and E on it. The other line shows points B, D, and D on it. The latter set of points is listed among the answer choices.

__

2) A plane can be named by three points in the plane that are not on the same line. The points shown as being in the plane are B, C, D, F, with points B, C, and D being on the same line (see question 1). So, the plane can be named with point F and any two of B, C, and D. Plane BFD is an appropriate name.

Answer:

67 squares or 66.66 squares.

2/3 turned into a decimal is 66.66 or rounded, 67 squares.

Hope this helped! (plz mark me brainliest!)

Answer:

The correct answer is that the area of the regular octagon is 309 cm²

Step-by-step explanation:

There are several formulas for calculating the area of a regular octagon. We will use this one for solving this question because it does not require additional information .

Area = (2 * s²)/tan 22,5°

s = 8 cm

Replacing with the real values, we have:

Area = (2 * 8²)/tan 22,5°

Area = 2 * 64/0.4142

Area = 128/0.4142

Area = 309 cm² (Rounding to the nearest tenth)

Answer:

Prototype

Step-by-step explanation:

Before a product is made, an original model of the product is first formulated. This is called a prototype. It is not simply a part of the design, but a very important part that the process of creating the final product solely depends on it. It is largely described as a highly representative example of a concept or product.

A prototype is a typical, highly representative example of a concept. It is often described as an "average" or an "ideal member."

In Engineering, a prototype can be defined as a rudimentary (early) model, release, or sample of a particular product, so as to avail the developers and manufacturers an opportunity and ability to test a concept, functionality, or process within it.

For instance, the main purpose of the prototype of a robot is to determine and show whether or not the robot and all of its features are in tandem with the design specifications and market requirements.

Read more on prototype here: brainly.com/question/7509258

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Answer:

I would approach it with a graph or chart because that is the best way to go about a problem like this. don't quote me on this though because im only a freshmen in highschool. I hope this helps>

Step-by-step explanation:

Answer:

The question is not complete; the options are not given.

This is the complete question

Which of the following approaches is most suitable for auditing the finance and investment cycle?

a) perform extensive tests of controls and limit substantive procedures to analytical procedures

b) Ignore internal controls and perform extensive substantive procedures

c) Gain an understanding of internal controls and perform extensive substantive procedures

d) Ignore internal controls and limit substantive procedures to analytical procedures

Step-by-step explanation:

The right option is option c)

Gain an understanding of internal controls and perform extensive substantive procedures.

The approaches which is most suitable for auditing the finance and investment cycle is gaining an understanding of internal controls and perform extensive substantive procedures. Which makes option c the right option.

Answer:

Brayden Solved 5 math problem and read 10 pages.

Step-by-step explanation:

Let the number of Math Problem solved be x.

Also Let the Number of Pages he read be y.

Given:

The number of pages Brayden read is twice the number of math problems he solved.

Hence equation can be framed as;

[tex]y =2x[/tex]

Also Given:

Ayden can solve each math problem in 3 minutes and he can read each page in 1 minute and it took him 50 minutes to complete all of his homework.

Hence the equation can be framed as;

[tex]4x+2.5y =45[/tex]

Now Substituting the value of y in above equation we get;

[tex]4x+2.5(2x) =45\\\\4x+5x=45\\\\9x=45\\\\x=\frac{45}{9}=5[/tex]

Now Substituting the value of x to find the value of y we get;

[tex]y =2x =2\times5 =10[/tex]

Hence Brayden Solved 5 math problem and read 10 pages.

I can't see the photo ....

Answer:

Cost in decreasing order: Project B>Project A>Project D>Project C

Step-by-step explanation:

Project A

Area:  [tex]A=20 in*15 in= 300 in^2[/tex]

Scale: [tex]S=\frac{4 ft *4ft}{1 in*1in}=16 \frac{ft^2}{in^2}[/tex]

Cost:

[tex]C=\frac{22000}{300 in^2*16 \frac{ft^2}{in^2}}[/tex]

[tex]C=\frac{4.58}{ft^2}[/tex]

Project B

Area:  [tex]A=10 in*8 in= 80 in^2[/tex]

Scale: [tex]S=\frac{8 ft *8ft}{1 in*1in}=64 \frac{ft^2}{in^2}[/tex]

Cost:

[tex]C=\frac{25000}{80 in^2*64 \frac{ft^2}{in^2}}[/tex]

[tex]C=\frac{4.88}{ft^2}[/tex]

Project C

Area:  [tex]A=15 in*12 in= 180 in^2[/tex]

Scale: [tex]S=\frac{6 ft *6ft}{1 in*1in}=36 \frac{ft^2}{in^2}[/tex]

Cost:

[tex]C=\frac{27000}{180 in^2*36 \frac{ft^2}{in^2}}[/tex]

[tex]C=\frac{4.16}{ft^2}[/tex]

Project D

Area:  [tex]A=8 in*6 in=48 in^2[/tex]

Scale: [tex]S=\frac{12 ft *12ft}{1 in*1in}=144 \frac{ft^2}{in^2}[/tex]

Cost:

[tex]C=\frac{30000}{48 in^2*144 \frac{ft^2}{in^2}}[/tex]

[tex]C=\frac{4.34}{ft^2}[/tex]

Answer:

There is no finite maximum value of the radius of C.

Step-by-step explanation:

We have been given that in the rectangular coordinate system, points (4,0) and (–4,0) both lie on circle C. We are asked to find the maximum possible value of the radius of C.

If the center of the circle C would have been at origin (0,0), then the radius of the circle C would be 4 units.

Since there is no information given about center of circle, so radius can be infinitely long. Therefore, there is no finite maximum value of the radius of C.

Answer:

-20% ?

Step-by-step explanation:

I'm not sure but 2% of 5 is 1 so 20% of 500 is 100. so minus 20% would give you 400.

To find the percent of change in foreclosures, subtract the new number from the old number, divide by the old number, and multiply by 100. The foreclosures went from 500 to 400, resulting in a 20 percent decrease.

To calculate the percent of change in the number of foreclosures from one year to the next, you take the difference in the numbers (new number - old number), divide by the old number (the number from the earlier year), and then multiply the result by 100 to obtain a percentage. In this case, there were 500 foreclosures last year and 400 this year. Therefore, the calculation is as follows:

(Old Number - New Number) / Old Number × 100 = Percent Change

(500 - 400) / 500 × 100 = 100 / 500 × 100

0.2 × 100 = 20%

There has been a 20 percent decrease in foreclosures from last year to this year.

There are 14 toys in Zoey's basket.

Step-by-step explanation:

Given,

Balls in basket = 3

Stuffed animals = 2 times as balls in basket

Stuffed animals = 2*3 = 6

Bones = 1 fewer than stuffed animals.

Fewer means subtraction

Bones = 6-1 = 5

Total toys = Balls + stuffed animals + bones

Total toys= 3+6+5 = 14

There are 14 toys in Zoey's basket.

Keywords: addition, multiplication

Learn more about addition at:

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Answer:

Step-by-step explanation:

[tex]sin (x)=-0.8\\x+y=90\\x=90-y\\sin(90-y)=-0.8\\cos (y)=-0.8\\sin (90-\alpha )=cos\alpha[/tex]

Answer:

cos x

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

I assume there's a negative sign missing, since the image is a downwards parabola.

f(x) = -x²/256 + 16

The width of the beam is the distance between the x-intercepts.

0 = -x²/256 + 16

x²/256 = 16

x² = 4096

x = ±64

So the width is:

64 − (-64) = 128

Answer:

Length of the lake is 97.30 m

Step-by-step explanation:

We have given Caleb starts at one end of the lake and walk 95 m

So [tex]d_1=95m[/tex]

And then he turns at an angle of 60°

So [tex]\Theta =60^{\circ}[/tex] and then again walk 8 m

So [tex]d_2=8m[/tex]

We have to fond the total length of the lake , that is d

Total length of the lake is given by [tex]d=\sqrt{d_1^2+d_2^2+2d_1d_2cos\Theta }=\sqrt{95^2+8^2+2\times 95\times 8\times cos60^{\circ}}=97.30m[/tex]

So length of the lake is 97.30 m

Final answer:

Using the Law of Cosines with Caleb's path measurements of 95 meters and 103 meters at a 60-degree angle, the length of the lake is found to be approximately 104 meters.

Explanation:

To estimate the length of the lake, we can represent Caleb's path as a triangle, where the length of the lake forms one side of the triangle. Caleb starts by walking 95 meters along one side, then makes a 60° angle and walks 8 meters more than the length of the first path, forming the second side of the triangle. The length of the lake, which is the final side, can be calculated using the Law of Cosines.

The Law of Cosines is given by c² = a² + b² - 2ab×cos(γ), where γ is the enclosed angle and a, b, and c are the lengths of the sides of the triangle.

In this case, a = 95m, b = 95m + 8m = 103m, and γ = 60°. Plugging these values into the Law of Cosines, we will find the length of the lake (c).

c² = 95² + 103² - 2×95×103×cos(60°)

c² = 9025 + 10609 - 19570×0.5

c² = 9025 + 10609 - 9785

c² = 10849

c ≈ √10849

c ≈ 104.16 meters

Therefore, the length of the lake is approximately 104 meters long.

Answer:

The 10% off sale will save Melissa $10.49.

Step-by-step explanation:

Given:

The listed price of the camera is $195.99.

The camera is no sale for 10% off and Melissa has a coupon for 5% off the sales tax is 7%.

Now, to find the money Melissa will save of the 10% off sale.

So, to get the price of camera of the 5% off sale:

[tex](195.99-5\%\ of\ 195.99)[/tex]

[tex]=(195.99-\frac{5}{100}\times 195.99)[/tex]

[tex]=(195.99-9.80)[/tex]

[tex]=186.19[/tex]

Now, adding the sales tax:

[tex]186.19+7\%\ of\ 186.19[/tex]

[tex]=186.19+\frac{7}{100} \times 186.19[/tex]

[tex]=186.19+13.03[/tex]

[tex]=199.22[/tex]

Thus, the price is $199.22.

Now, to get the price of 10% off sale:

[tex]195.99-10\%\ of\ 195.99[/tex]

[tex]=195.99-\frac{10}{100} \times 195.99[/tex]

[tex]=176.39[/tex]

So, adding sales tax:

[tex]176.39+7\%\ of\ 176.39[/tex]

[tex]=176.39+\frac{7}{100} \times 176.39[/tex]

[tex]=188.73[/tex]

Hence, the price is $188.73.

Now, to get the money 10% off sale will save Melissa:

[tex]199.22-188.73[/tex]

[tex]=10.49[/tex]

Therefore, the 10% off sale will save Melissa $10.49.

Final Answer:

The 10% off sale will save Melissa approximately $19.60.

Explantion:

To calculate the savings from the 10% off sale on the listed price of the digital camera, follow these steps:
1. Determine the listed price of the camera. In this case, the listed price is $195.99.
2. Calculate the discount amount by multiplying the listed price by the discount percentage (expressed as a decimal). For a 10% discount, you would convert that percentage to a decimal by dividing by 100:

10% = 10/100 = 0.10.
3. Multiply the listed price by the decimal form of the discount percentage to find the savings:
  Savings = Listed Price × Discount Percentage
  Savings = $195.99 × 0.10
4. Calculate the actual savings:
  Savings = $195.99 × 0.10 = $19.599
5. Since savings are typically represented in dollar format (rounded to two decimal places), we round the savings to the nearest cent:
  Savings ≈ $19.60
So, the 10% off sale will save Melissa approximately $19.60.

Answer:

[tex]\displaystyle \frac{12}{13} = sin\:θ\:[0,3743340836π ≈ θ][/tex]

Step-by-step explanation:

Remember this?!

Extended Information on Trigonometric Ratios

[tex]\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ[/tex]

I am joyous to assist you anytime.

Answer:

[tex] \frac{16}{7(x + 4)} + \frac{5}{7(x - 3)} [/tex]

your answer is not correct.

Answer:

Hudson earned $520 in moving lawns and $880 by working in Pizza place.

Step-by-step explanation:

Given:

Total Money Earned = $1400

Let Money earned in moving lawns be 'x'

Also Given:

he earned $360 more at the pizza place than mowing lawns

Money Earned working at pizza place = [tex]x+360[/tex]

we need to find money earned in each job.

Now Total money earned is equal to sum of Money earned moving lawns and money earned working at pizza place.

Framing the equation we get;

[tex]x+x+360=1400[/tex]

Solving the equation we get;

[tex]2x+360 =1400\\\\2x = 1400-360\\\\2x =1040\\\\x=\frac{1040}{2}=\$520[/tex]

Money Earned working at pizza place = [tex]x+360 = 520 +360 = \$880[/tex]

Hence Hudson earned $520 in moving lawns and $880 by working in Pizza place.

Final answer:

To determine the earnings from each job, equations were set up using the total amount earned and the difference between the two earnings. The student earned $520 mowing lawns and $880 at the pizza place.

Explanation:

The student has provided information indicating that he worked two jobs and earned a combined total of $1400 over the summer. He earned $360 more at the pizza place than he did mowing lawns. To solve for how much he earned at each job, we need to set up two equations based on the given information. Let the amount earned mowing lawns be x and the amount earned at the pizza place be y.

From the information given, we have two equations:

Now we can substitute the second equation into the first to find how much he earned from each job. From the second equation, we have y = x + $360. Substituting this into the first equation gives us:

x + (x + $360) = $1400

Combining like terms gives us:

2x + $360 = $1400

Subtract $360 from both sides yields:

2x = $1040

Dividing both sides by 2 gives us:

x = $520

Therefore, the student earned $520 mowing lawns. To find how much was earned at the pizza place, we substitute x back into the second equation:

y = $520 + $360

So, the student earned $880 at the pizza place.

Answer:

  40 mph

Step-by-step explanation:

3 times the speed in mph will be ...

  3 × 20 = 60 . . . . . more than 43

  3 × 40 = 120 . . . . less than 126

The stopping distance in feet is more than 3 times the speed in mph for a speed of 40 mph.

_____

The answer will depend on the units of the ratio. Here, we are apparently to use units of feet per (mile per hour), that is, (ft·h/mi). The answer would be different for distance in meters and speed in km/h, for example.

Answer: Use all numbers to add.

2918+49=2967

Estimated.... 2918+49 ≈ 3050

Hope this helps you out.

Answer:use all the numbers

Step-by-step explanation:

2918+49 ≈ 3050

Answer:

a) equilibrium price = $48

b) shortage of 50 million phones

Step-by-step explanation:

Quarterly sales of a brand/quantity demanded (q) =

-p+126 million phones

a) if supply(q) = 9p - 354 million phones, at equilibrium quantity demanded = quantity supplied

-p + 126 = 9p - 354

-p - 9p = -354 - 126

-10p = -480

p = -480/-10

p = $48

The price at equilibrium = $48

b) actual wholesale price in the fourth quarter of 2004= $43

Quantity demanded = -p + 126

= -43 + 126

= 83 million phones

Quantity supplied = 9p - 354

= 9(43) - 354

= 387 - 354

= 33 million phones

Since quantity supplied is less than quantity demanded, there will be a shortage.

Shortage = 83 -33

= 50 million phones

The equilibrium price is determined to be $48 by equating the demand and supply. At an actual price of $43, there is a shortage of 50 million phones. This is found by comparing the quantities demanded and supplied at that price.

Equilibrium Price and Surplus/Shortage Estimation

We are given the demand and supply functions for cell phones, where the demand function is q = −p + 126 and the supply function is q = 9p − 354. To find the equilibrium price, we set the demand function equal to the supply function:

Solving for p:

Hence, the equilibrium price is $48.

For part (b), we need to estimate the shortage or surplus at an actual wholesale price of $43. We substitute p = 43 into both demand and supply functions:

Therefore, there is a shortage of 83 - 33 = 50 million phones at the price of $43.

Answer:

The equation of the line is y = (-1/2)x + 5

Step-by-step explanation:

[tex]m = \frac{y2 - y1}{x2 - x1 } [/tex]

First of all, have to find gradient using the formula above :

(2,4) & (14,-2)

m = (-2-4) / (14-2)

= -6 / 12

= -1/2

Second, using y = mx + b as b is a constant and is a y-intercept. Using any of these 2 coordinates to find the value of b with given gradient :

y = mx + b

Let y=4 & x=2

4 = (-1/2)(2) + b

b = 4 + 1

= 5

Lastly, put the value of gradient and y-intercept into the equation :

y = mx + b

Let m=-1/2 & b=5

y = (-1/2)x + 5

answer : 8 vans and 7 buses